A survey on Nahm transform

Details A survey on Nahm transform A survey on Nahm transform

2003-09-18

arxiv.org/abs/math/0309305v3

J Geom Phys 52 (2004) 313-327

Mathematics

Differential Geometry

Submitted version with minor changes, more references to calorons; written with non-experts in mind; 24 pages

Scientific paper

10.1016/j.geomphys.2004.03.006

We review the construction known as the Nahm transform in a generalized context, which includes all the examples of this construction already described in the literature. The Nahm transform for translation invariant instantons on $\real^4$ is presented in an uniform manner. We also analyze two new examples, the first of which being the first example involving a four-manifold that is not complex.

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